Question

A bike is sold for Rs 48,000, and thus the seller makes a profit of 20%. In order to gain a profit of 25%, at what price should he sell the bike?​

Answer 1

S.P. of cycle = Rs. 2850

Profit % = 14%

C.P. =S.P.(100−P%)×100


CP =2850114×100


New profit% = 8%

New S.P. = C.P.×
(100+P%)100


2850×100114×108100


= Rs. 2700

Answer 2

Answer:

If a bike is sold for Rs 48,000, and seller makes a profit of 20%, then in order to gain a profit of 25%,  he should sell the bike at Rs 50000.

Step-by-step explanation:

Let the cost price be x.

Profit  = 20% of x = $\frac{x * 20}{100}$ = $\frac{x}{5}$

The bike is sold for Rs 48,000.

So, the selling price is Rs 48000.

Now, Selling price = Cost Price + profit

So, x + $\frac{x}{5}$ = 48000

⇒    $\frac{5x + x}{5}$ = 48000

⇒    $\frac{6x}{5}$     = 48000

⇒    6x   = 48000 × 5

⇒   6x = 240000

⇒   x =  40000

Hence, the cost price of the bike =Rs 40000

25% of Cost price = 40000 × $\frac{25}{100}$ = Rs 10000

In order to gain a profit of 25%, the Selling Price will be :

Cost price + profit  = 40000 + 10000 = Rs 50000.

So, he should sell the bike at Rs 50000.

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